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Finding the Third Proportional to 630,100 and 1,382,678

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Solution

The third proportional to 630,100 and 1,382,678 is: 3,034,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,100 : 1,382,678 = 1,382,678 : x
  2. Step 2: Convert to fraction form
    630,100/1,382,678 = 1,382,678/x
  3. Step 3: Cross multiply
    630,100x = 1,382,678 × 1,382,678
  4. Step 4: Simplify right side
    630,100x = 1,911,798,451,684
  5. Step 5: Solve for x
    x = 1,911,798,451,684/630,100
  6. Step 6: Final answer
    x = 3,034,119.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.